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Finding the Fourth Proportional to 1,276.68, 1,913.40 and 729.17

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Solution

The fourth proportional to 1,276.68, 1,913.40 and 729.17 is: 1,092.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.68 : 1,913.40 = 729.17 : x
  2. Step 2: Convert to fraction form
    1,276.68/1,913.40 = 729.17/x
  3. Step 3: Cross multiply
    1,276.68x = 1,913.40 × 729.17
  4. Step 4: Simplify right side
    1,276.68x = 1,395,184.31
  5. Step 5: Solve for x
    x = 1,395,184.31/1,276.68
  6. Step 6: Final answer
    x = 1,092.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.